What is the Least Common Multiple of 68988 and 69002?

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 68988 and 69002 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68988 and 69002, than apply into the LCM equation.

GCF(68988,69002) = 2
LCM(68988,69002) = ( 68988 × 69002) / 2
LCM(68988,69002) = 4760309976 / 2
LCM(68988,69002) = 2380154988

Least Common Multiple (LCM) of 68988 and 69002 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68988 and 69002. First we will calculate the prime factors of 68988 and 69002.

Prime Factorization of 68988

Prime Factorization of 69002

Now multiplying the highest exponent prime factors to calculate the LCM of 68988 and 69002.

LCM(68988,69002) = 2² × 3¹ × 5749¹ × 34501¹
LCM(68988,69002) = 2380154988