What is the Least Common Multiple of 64842 and 64854?

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 64842 and 64854 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64842 and 64854, than apply into the LCM equation.

GCF(64842,64854) = 6
LCM(64842,64854) = ( 64842 × 64854) / 6
LCM(64842,64854) = 4205263068 / 6
LCM(64842,64854) = 700877178

Least Common Multiple (LCM) of 64842 and 64854 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64842 and 64854. First we will calculate the prime factors of 64842 and 64854.

Prime Factorization of 64842

Prime Factorization of 64854

Now multiplying the highest exponent prime factors to calculate the LCM of 64842 and 64854.

LCM(64842,64854) = 2¹ × 3³ × 101¹ × 107¹ × 1201¹
LCM(64842,64854) = 700877178