What is the Least Common Multiple of 72956 and 72961?

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 72956 and 72961 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72956 and 72961, than apply into the LCM equation.

GCF(72956,72961) = 1
LCM(72956,72961) = ( 72956 × 72961) / 1
LCM(72956,72961) = 5322942716 / 1
LCM(72956,72961) = 5322942716

Least Common Multiple (LCM) of 72956 and 72961 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72956 and 72961. First we will calculate the prime factors of 72956 and 72961.

Prime Factorization of 72956

Prime Factorization of 72961

Now multiplying the highest exponent prime factors to calculate the LCM of 72956 and 72961.

LCM(72956,72961) = 2² × 13¹ × 23¹ × 61¹ × 7² × 1489¹
LCM(72956,72961) = 5322942716