What is the Least Common Multiple of 91460 and 91480?

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 91460 and 91480 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91460 and 91480, than apply into the LCM equation.

GCF(91460,91480) = 20
LCM(91460,91480) = ( 91460 × 91480) / 20
LCM(91460,91480) = 8366760800 / 20
LCM(91460,91480) = 418338040

Least Common Multiple (LCM) of 91460 and 91480 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91460 and 91480. First we will calculate the prime factors of 91460 and 91480.

Prime Factorization of 91460

Prime Factorization of 91480

Now multiplying the highest exponent prime factors to calculate the LCM of 91460 and 91480.

LCM(91460,91480) = 2³ × 5¹ × 17¹ × 269¹ × 2287¹
LCM(91460,91480) = 418338040