What is the Least Common Multiple of 62970 and 62984?

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 62970 and 62984 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62970 and 62984, than apply into the LCM equation.

GCF(62970,62984) = 2
LCM(62970,62984) = ( 62970 × 62984) / 2
LCM(62970,62984) = 3966102480 / 2
LCM(62970,62984) = 1983051240

Least Common Multiple (LCM) of 62970 and 62984 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62970 and 62984. First we will calculate the prime factors of 62970 and 62984.

Prime Factorization of 62970

Prime Factorization of 62984

Now multiplying the highest exponent prime factors to calculate the LCM of 62970 and 62984.

LCM(62970,62984) = 2³ × 3¹ × 5¹ × 2099¹ × 7873¹
LCM(62970,62984) = 1983051240