What is the Least Common Multiple of 68973 and 68988?

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 68973 and 68988 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68973 and 68988, than apply into the LCM equation.

GCF(68973,68988) = 3
LCM(68973,68988) = ( 68973 × 68988) / 3
LCM(68973,68988) = 4758309324 / 3
LCM(68973,68988) = 1586103108

Least Common Multiple (LCM) of 68973 and 68988 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68973 and 68988. First we will calculate the prime factors of 68973 and 68988.

Prime Factorization of 68973

Prime Factorization of 68988

Now multiplying the highest exponent prime factors to calculate the LCM of 68973 and 68988.

LCM(68973,68988) = 3¹ × 83¹ × 277¹ × 2² × 5749¹
LCM(68973,68988) = 1586103108