What is the Least Common Multiple of 4964 and 4980?
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 4964 and 4980 is 6180180.
LCM(4964,4980) = 6180180
Least Common Multiple of 4964 and 4980 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4964 and 4980, than apply into the LCM equation.
GCF(4964,4980) = 4
LCM(4964,4980) = ( 4964 × 4980) / 4
LCM(4964,4980) = 24720720 / 4
LCM(4964,4980) = 6180180
Least Common Multiple (LCM) of 4964 and 4980 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4964 and 4980. First we will calculate the prime factors of 4964 and 4980.
Prime Factorization of 4964
Prime factors of 4964 are 2, 17, 73. Prime factorization of 4964 in exponential form is:
4964 = 22 × 171 × 731
Prime Factorization of 4980
Prime factors of 4980 are 2, 3, 5, 83. Prime factorization of 4980 in exponential form is:
4980 = 22 × 31 × 51 × 831
Now multiplying the highest exponent prime factors to calculate the LCM of 4964 and 4980.
LCM(4964,4980) = 22 × 171 × 731 × 31 × 51 × 831
LCM(4964,4980) = 6180180
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