What is the Least Common Multiple of 57643 and 57647?

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 of 57643 and 57647 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57643 and 57647, than apply into the LCM equation.

GCF(57643,57647) = 1
LCM(57643,57647) = ( 57643 × 57647) / 1
LCM(57643,57647) = 3322946021 / 1
LCM(57643,57647) = 3322946021

Least Common Multiple (LCM) of 57643 and 57647 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57643 and 57647. First we will calculate the prime factors of 57643 and 57647.

Prime Factorization of 57643

Prime Factorization of 57647

Now multiplying the highest exponent prime factors to calculate the LCM of 57643 and 57647.

LCM(57643,57647) = 59¹ × 977¹ × 17¹ × 3391¹
LCM(57643,57647) = 3322946021