What is the Least Common Multiple of 59644 and 59656?

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 59644 and 59656 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59644 and 59656, than apply into the LCM equation.

GCF(59644,59656) = 4
LCM(59644,59656) = ( 59644 × 59656) / 4
LCM(59644,59656) = 3558122464 / 4
LCM(59644,59656) = 889530616

Least Common Multiple (LCM) of 59644 and 59656 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59644 and 59656. First we will calculate the prime factors of 59644 and 59656.

Prime Factorization of 59644

Prime Factorization of 59656

Now multiplying the highest exponent prime factors to calculate the LCM of 59644 and 59656.

LCM(59644,59656) = 2³ × 13¹ × 31¹ × 37¹ × 7457¹
LCM(59644,59656) = 889530616