What is the Least Common Multiple of 4734 and 4741?
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 4734 and 4741 is 22443894.
LCM(4734,4741) = 22443894
Least Common Multiple of 4734 and 4741 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4734 and 4741, than apply into the LCM equation.
GCF(4734,4741) = 1
LCM(4734,4741) = ( 4734 × 4741) / 1
LCM(4734,4741) = 22443894 / 1
LCM(4734,4741) = 22443894
Least Common Multiple (LCM) of 4734 and 4741 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4734 and 4741. First we will calculate the prime factors of 4734 and 4741.
Prime Factorization of 4734
Prime factors of 4734 are 2, 3, 263. Prime factorization of 4734 in exponential form is:
4734 = 21 × 32 × 2631
Prime Factorization of 4741
Prime factors of 4741 are 11, 431. Prime factorization of 4741 in exponential form is:
4741 = 111 × 4311
Now multiplying the highest exponent prime factors to calculate the LCM of 4734 and 4741.
LCM(4734,4741) = 21 × 32 × 2631 × 111 × 4311
LCM(4734,4741) = 22443894
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