What is the Least Common Multiple of 84142 and 84156?

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 84142 and 84156 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84142 and 84156, than apply into the LCM equation.

GCF(84142,84156) = 2
LCM(84142,84156) = ( 84142 × 84156) / 2
LCM(84142,84156) = 7081054152 / 2
LCM(84142,84156) = 3540527076

Least Common Multiple (LCM) of 84142 and 84156 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84142 and 84156. First we will calculate the prime factors of 84142 and 84156.

Prime Factorization of 84142

Prime Factorization of 84156

Now multiplying the highest exponent prime factors to calculate the LCM of 84142 and 84156.

LCM(84142,84156) = 2² × 42071¹ × 3¹ × 7013¹
LCM(84142,84156) = 3540527076