What is the Least Common Multiple of 60874 and 60889?

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 60874 and 60889 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60874 and 60889, than apply into the LCM equation.

GCF(60874,60889) = 1
LCM(60874,60889) = ( 60874 × 60889) / 1
LCM(60874,60889) = 3706556986 / 1
LCM(60874,60889) = 3706556986

Least Common Multiple (LCM) of 60874 and 60889 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60874 and 60889. First we will calculate the prime factors of 60874 and 60889.

Prime Factorization of 60874

Prime Factorization of 60889

Now multiplying the highest exponent prime factors to calculate the LCM of 60874 and 60889.

LCM(60874,60889) = 2¹ × 11¹ × 2767¹ × 60889¹
LCM(60874,60889) = 3706556986