What is the Least Common Multiple of 71610 and 71624?

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 71610 and 71624 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71610 and 71624, than apply into the LCM equation.

GCF(71610,71624) = 14
LCM(71610,71624) = ( 71610 × 71624) / 14
LCM(71610,71624) = 5128994640 / 14
LCM(71610,71624) = 366356760

Least Common Multiple (LCM) of 71610 and 71624 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71610 and 71624. First we will calculate the prime factors of 71610 and 71624.

Prime Factorization of 71610

Prime Factorization of 71624

Now multiplying the highest exponent prime factors to calculate the LCM of 71610 and 71624.

LCM(71610,71624) = 2³ × 3¹ × 5¹ × 7¹ × 11¹ × 31¹ × 1279¹
LCM(71610,71624) = 366356760