What is the Least Common Multiple of 64536 and 64542?

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 64536 and 64542 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64536 and 64542, than apply into the LCM equation.

GCF(64536,64542) = 6
LCM(64536,64542) = ( 64536 × 64542) / 6
LCM(64536,64542) = 4165282512 / 6
LCM(64536,64542) = 694213752

Least Common Multiple (LCM) of 64536 and 64542 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64536 and 64542. First we will calculate the prime factors of 64536 and 64542.

Prime Factorization of 64536

Prime Factorization of 64542

Now multiplying the highest exponent prime factors to calculate the LCM of 64536 and 64542.

LCM(64536,64542) = 2³ × 3¹ × 2689¹ × 31¹ × 347¹
LCM(64536,64542) = 694213752