What is the Least Common Multiple of 91860 and 91872?

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 91860 and 91872 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91860 and 91872, than apply into the LCM equation.

GCF(91860,91872) = 12
LCM(91860,91872) = ( 91860 × 91872) / 12
LCM(91860,91872) = 8439361920 / 12
LCM(91860,91872) = 703280160

Least Common Multiple (LCM) of 91860 and 91872 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91860 and 91872. First we will calculate the prime factors of 91860 and 91872.

Prime Factorization of 91860

Prime Factorization of 91872

Now multiplying the highest exponent prime factors to calculate the LCM of 91860 and 91872.

LCM(91860,91872) = 2⁵ × 3² × 5¹ × 1531¹ × 11¹ × 29¹
LCM(91860,91872) = 703280160