What is the Least Common Multiple of 62984 and 62998?

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 62984 and 62998 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62984 and 62998, than apply into the LCM equation.

GCF(62984,62998) = 2
LCM(62984,62998) = ( 62984 × 62998) / 2
LCM(62984,62998) = 3967866032 / 2
LCM(62984,62998) = 1983933016

Least Common Multiple (LCM) of 62984 and 62998 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62984 and 62998. First we will calculate the prime factors of 62984 and 62998.

Prime Factorization of 62984

Prime Factorization of 62998

Now multiplying the highest exponent prime factors to calculate the LCM of 62984 and 62998.

LCM(62984,62998) = 2³ × 7873¹ × 13¹ × 2423¹
LCM(62984,62998) = 1983933016