What is the Least Common Multiple of 56640 and 56660?
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 56660 is 160461120.
LCM(56640,56660) = 160461120
Least Common Multiple of 56640 and 56660 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 56660, than apply into the LCM equation.
GCF(56640,56660) = 20
LCM(56640,56660) = ( 56640 × 56660) / 20
LCM(56640,56660) = 3209222400 / 20
LCM(56640,56660) = 160461120
Least Common Multiple (LCM) of 56640 and 56660 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56640 and 56660. First we will calculate the prime factors of 56640 and 56660.
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 56660
Prime factors of 56660 are 2, 5, 2833. Prime factorization of 56660 in exponential form is:
56660 = 22 × 51 × 28331
Now multiplying the highest exponent prime factors to calculate the LCM of 56640 and 56660.
LCM(56640,56660) = 26 × 31 × 51 × 591 × 28331
LCM(56640,56660) = 160461120
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