What is the Least Common Multiple of 62984 and 63002?

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 63002 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 63002, than apply into the LCM equation.

GCF(62984,63002) = 2
LCM(62984,63002) = ( 62984 × 63002) / 2
LCM(62984,63002) = 3968117968 / 2
LCM(62984,63002) = 1984058984

Least Common Multiple (LCM) of 62984 and 63002 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62984 and 63002. First we will calculate the prime factors of 62984 and 63002.

Prime Factorization of 62984

Prime Factorization of 63002

Now multiplying the highest exponent prime factors to calculate the LCM of 62984 and 63002.

LCM(62984,63002) = 2³ × 7873¹ × 17² × 109¹
LCM(62984,63002) = 1984058984