What is the Least Common Multiple of 72961 and 72968?

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 72961 and 72968 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72961 and 72968, than apply into the LCM equation.

GCF(72961,72968) = 7
LCM(72961,72968) = ( 72961 × 72968) / 7
LCM(72961,72968) = 5323818248 / 7
LCM(72961,72968) = 760545464

Least Common Multiple (LCM) of 72961 and 72968 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72961 and 72968. First we will calculate the prime factors of 72961 and 72968.

Prime Factorization of 72961

Prime Factorization of 72968

Now multiplying the highest exponent prime factors to calculate the LCM of 72961 and 72968.

LCM(72961,72968) = 7² × 1489¹ × 2³ × 1303¹
LCM(72961,72968) = 760545464