What is the Least Common Multiple of 56640 and 56652?
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 56640 and 56652 is 267397440.
LCM(56640,56652) = 267397440
Least Common Multiple of 56640 and 56652 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56640 and 56652, than apply into the LCM equation.
GCF(56640,56652) = 12
LCM(56640,56652) = ( 56640 × 56652) / 12
LCM(56640,56652) = 3208769280 / 12
LCM(56640,56652) = 267397440
Least Common Multiple (LCM) of 56640 and 56652 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56640 and 56652. First we will calculate the prime factors of 56640 and 56652.
Prime Factorization of 56640
Prime factors of 56640 are 2, 3, 5, 59. Prime factorization of 56640 in exponential form is:
56640 = 26 × 31 × 51 × 591
Prime Factorization of 56652
Prime factors of 56652 are 2, 3, 4721. Prime factorization of 56652 in exponential form is:
56652 = 22 × 31 × 47211
Now multiplying the highest exponent prime factors to calculate the LCM of 56640 and 56652.
LCM(56640,56652) = 26 × 31 × 51 × 591 × 47211
LCM(56640,56652) = 267397440
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