What is the Least Common Multiple of 84972 and 84978?

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 84972 and 84978 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84972 and 84978, than apply into the LCM equation.

GCF(84972,84978) = 6
LCM(84972,84978) = ( 84972 × 84978) / 6
LCM(84972,84978) = 7220750616 / 6
LCM(84972,84978) = 1203458436

Least Common Multiple (LCM) of 84972 and 84978 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84972 and 84978. First we will calculate the prime factors of 84972 and 84978.

Prime Factorization of 84972

Prime Factorization of 84978

Now multiplying the highest exponent prime factors to calculate the LCM of 84972 and 84978.

LCM(84972,84978) = 2² × 3² × 73¹ × 97¹ × 4721¹
LCM(84972,84978) = 1203458436