What is the Least Common Multiple of 56637 and 56657?
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 56637 and 56657 is 3208882509.
LCM(56637,56657) = 3208882509
Least Common Multiple of 56637 and 56657 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56637 and 56657, than apply into the LCM equation.
GCF(56637,56657) = 1
LCM(56637,56657) = ( 56637 × 56657) / 1
LCM(56637,56657) = 3208882509 / 1
LCM(56637,56657) = 3208882509
Least Common Multiple (LCM) of 56637 and 56657 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56637 and 56657. First we will calculate the prime factors of 56637 and 56657.
Prime Factorization of 56637
Prime factors of 56637 are 3, 7, 29, 31. Prime factorization of 56637 in exponential form is:
56637 = 32 × 71 × 291 × 311
Prime Factorization of 56657
Prime factors of 56657 are 53, 1069. Prime factorization of 56657 in exponential form is:
56657 = 531 × 10691
Now multiplying the highest exponent prime factors to calculate the LCM of 56637 and 56657.
LCM(56637,56657) = 32 × 71 × 291 × 311 × 531 × 10691
LCM(56637,56657) = 3208882509
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