What is the Least Common Multiple of 87760 and 87776?

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 87760 and 87776 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87760 and 87776, than apply into the LCM equation.

GCF(87760,87776) = 16
LCM(87760,87776) = ( 87760 × 87776) / 16
LCM(87760,87776) = 7703221760 / 16
LCM(87760,87776) = 481451360

Least Common Multiple (LCM) of 87760 and 87776 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87760 and 87776. First we will calculate the prime factors of 87760 and 87776.

Prime Factorization of 87760

Prime Factorization of 87776

Now multiplying the highest exponent prime factors to calculate the LCM of 87760 and 87776.

LCM(87760,87776) = 2⁵ × 5¹ × 1097¹ × 13¹ × 211¹
LCM(87760,87776) = 481451360