What is the Least Common Multiple of 84951 and 84956?

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 84951 and 84956 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84951 and 84956, than apply into the LCM equation.

GCF(84951,84956) = 1
LCM(84951,84956) = ( 84951 × 84956) / 1
LCM(84951,84956) = 7217097156 / 1
LCM(84951,84956) = 7217097156

Least Common Multiple (LCM) of 84951 and 84956 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84951 and 84956. First we will calculate the prime factors of 84951 and 84956.

Prime Factorization of 84951

Prime Factorization of 84956

Now multiplying the highest exponent prime factors to calculate the LCM of 84951 and 84956.

LCM(84951,84956) = 3² × 9439¹ × 2² × 67¹ × 317¹
LCM(84951,84956) = 7217097156