What is the Least Common Multiple of 64860 and 64870?

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 64860 and 64870 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64860 and 64870, than apply into the LCM equation.

GCF(64860,64870) = 10
LCM(64860,64870) = ( 64860 × 64870) / 10
LCM(64860,64870) = 4207468200 / 10
LCM(64860,64870) = 420746820

Least Common Multiple (LCM) of 64860 and 64870 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64860 and 64870. First we will calculate the prime factors of 64860 and 64870.

Prime Factorization of 64860

Prime Factorization of 64870

Now multiplying the highest exponent prime factors to calculate the LCM of 64860 and 64870.

LCM(64860,64870) = 2² × 3¹ × 5¹ × 23¹ × 47¹ × 13¹ × 499¹
LCM(64860,64870) = 420746820