What is the Least Common Multiple of 91120 and 91124?

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 91120 and 91124 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91120 and 91124, than apply into the LCM equation.

GCF(91120,91124) = 4
LCM(91120,91124) = ( 91120 × 91124) / 4
LCM(91120,91124) = 8303218880 / 4
LCM(91120,91124) = 2075804720

Least Common Multiple (LCM) of 91120 and 91124 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91120 and 91124. First we will calculate the prime factors of 91120 and 91124.

Prime Factorization of 91120

Prime Factorization of 91124

Now multiplying the highest exponent prime factors to calculate the LCM of 91120 and 91124.

LCM(91120,91124) = 2⁴ × 5¹ × 17¹ × 67¹ × 11¹ × 19¹ × 109¹
LCM(91120,91124) = 2075804720