What is the Least Common Multiple of 91912 and 91930?

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 91912 and 91930 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91912 and 91930, than apply into the LCM equation.

GCF(91912,91930) = 2
LCM(91912,91930) = ( 91912 × 91930) / 2
LCM(91912,91930) = 8449470160 / 2
LCM(91912,91930) = 4224735080

Least Common Multiple (LCM) of 91912 and 91930 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91912 and 91930. First we will calculate the prime factors of 91912 and 91930.

Prime Factorization of 91912

Prime Factorization of 91930

Now multiplying the highest exponent prime factors to calculate the LCM of 91912 and 91930.

LCM(91912,91930) = 2³ × 11489¹ × 5¹ × 29¹ × 317¹
LCM(91912,91930) = 4224735080