What is the Least Common Multiple of 72610 and 72614?

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 72610 and 72614 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72610 and 72614, than apply into the LCM equation.

GCF(72610,72614) = 2
LCM(72610,72614) = ( 72610 × 72614) / 2
LCM(72610,72614) = 5272502540 / 2
LCM(72610,72614) = 2636251270

Least Common Multiple (LCM) of 72610 and 72614 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72610 and 72614. First we will calculate the prime factors of 72610 and 72614.

Prime Factorization of 72610

Prime Factorization of 72614

Now multiplying the highest exponent prime factors to calculate the LCM of 72610 and 72614.

LCM(72610,72614) = 2¹ × 5¹ × 53¹ × 137¹ × 36307¹
LCM(72610,72614) = 2636251270