What is the Least Common Multiple of 71520 and 71526?

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 71520 and 71526 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71520 and 71526, than apply into the LCM equation.

GCF(71520,71526) = 6
LCM(71520,71526) = ( 71520 × 71526) / 6
LCM(71520,71526) = 5115539520 / 6
LCM(71520,71526) = 852589920

Least Common Multiple (LCM) of 71520 and 71526 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71520 and 71526. First we will calculate the prime factors of 71520 and 71526.

Prime Factorization of 71520

Prime Factorization of 71526

Now multiplying the highest exponent prime factors to calculate the LCM of 71520 and 71526.

LCM(71520,71526) = 2⁵ × 3¹ × 5¹ × 149¹ × 7¹ × 13¹ × 131¹
LCM(71520,71526) = 852589920