What is the Least Common Multiple of 4748 and 4764?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 4748 and 4764 is 5654868.
LCM(4748,4764) = 5654868
Least Common Multiple of 4748 and 4764 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4748 and 4764, than apply into the LCM equation.
GCF(4748,4764) = 4
LCM(4748,4764) = ( 4748 × 4764) / 4
LCM(4748,4764) = 22619472 / 4
LCM(4748,4764) = 5654868
Least Common Multiple (LCM) of 4748 and 4764 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4748 and 4764. First we will calculate the prime factors of 4748 and 4764.
Prime Factorization of 4748
Prime factors of 4748 are 2, 1187. Prime factorization of 4748 in exponential form is:
4748 = 22 × 11871
Prime Factorization of 4764
Prime factors of 4764 are 2, 3, 397. Prime factorization of 4764 in exponential form is:
4764 = 22 × 31 × 3971
Now multiplying the highest exponent prime factors to calculate the LCM of 4748 and 4764.
LCM(4748,4764) = 22 × 11871 × 31 × 3971
LCM(4748,4764) = 5654868
Related Least Common Multiples of 4748
- LCM of 4748 and 4752
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- LCM of 4748 and 4757
- LCM of 4748 and 4758
- LCM of 4748 and 4759
- LCM of 4748 and 4760
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- LCM of 4748 and 4764
- LCM of 4748 and 4765
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- LCM of 4748 and 4767
- LCM of 4748 and 4768
Related Least Common Multiples of 4764
- LCM of 4764 and 4768
- LCM of 4764 and 4769
- LCM of 4764 and 4770
- LCM of 4764 and 4771
- LCM of 4764 and 4772
- LCM of 4764 and 4773
- LCM of 4764 and 4774
- LCM of 4764 and 4775
- LCM of 4764 and 4776
- LCM of 4764 and 4777
- LCM of 4764 and 4778
- LCM of 4764 and 4779
- LCM of 4764 and 4780
- LCM of 4764 and 4781
- LCM of 4764 and 4782
- LCM of 4764 and 4783
- LCM of 4764 and 4784