What is the Least Common Multiple of 91968 and 91978?

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 91968 and 91978 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91968 and 91978, than apply into the LCM equation.

GCF(91968,91978) = 2
LCM(91968,91978) = ( 91968 × 91978) / 2
LCM(91968,91978) = 8459032704 / 2
LCM(91968,91978) = 4229516352

Least Common Multiple (LCM) of 91968 and 91978 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91968 and 91978. First we will calculate the prime factors of 91968 and 91978.

Prime Factorization of 91968

Prime Factorization of 91978

Now multiplying the highest exponent prime factors to calculate the LCM of 91968 and 91978.

LCM(91968,91978) = 2⁶ × 3¹ × 479¹ × 45989¹
LCM(91968,91978) = 4229516352