What is the Least Common Multiple of 72602 and 72620?

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 72602 and 72620 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72602 and 72620, than apply into the LCM equation.

GCF(72602,72620) = 2
LCM(72602,72620) = ( 72602 × 72620) / 2
LCM(72602,72620) = 5272357240 / 2
LCM(72602,72620) = 2636178620

Least Common Multiple (LCM) of 72602 and 72620 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72602 and 72620. First we will calculate the prime factors of 72602 and 72620.

Prime Factorization of 72602

Prime Factorization of 72620

Now multiplying the highest exponent prime factors to calculate the LCM of 72602 and 72620.

LCM(72602,72620) = 2² × 31¹ × 1171¹ × 5¹ × 3631¹
LCM(72602,72620) = 2636178620