What is the Least Common Multiple of 91480 and 91488?

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 91480 and 91488 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91480 and 91488, than apply into the LCM equation.

GCF(91480,91488) = 8
LCM(91480,91488) = ( 91480 × 91488) / 8
LCM(91480,91488) = 8369322240 / 8
LCM(91480,91488) = 1046165280

Least Common Multiple (LCM) of 91480 and 91488 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91480 and 91488. First we will calculate the prime factors of 91480 and 91488.

Prime Factorization of 91480

Prime Factorization of 91488

Now multiplying the highest exponent prime factors to calculate the LCM of 91480 and 91488.

LCM(91480,91488) = 2⁵ × 5¹ × 2287¹ × 3¹ × 953¹
LCM(91480,91488) = 1046165280