What is the Least Common Multiple of 91974 and 91984?

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 91974 and 91984 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91974 and 91984, than apply into the LCM equation.

GCF(91974,91984) = 2
LCM(91974,91984) = ( 91974 × 91984) / 2
LCM(91974,91984) = 8460136416 / 2
LCM(91974,91984) = 4230068208

Least Common Multiple (LCM) of 91974 and 91984 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91974 and 91984. First we will calculate the prime factors of 91974 and 91984.

Prime Factorization of 91974

Prime Factorization of 91984

Now multiplying the highest exponent prime factors to calculate the LCM of 91974 and 91984.

LCM(91974,91984) = 2⁴ × 3¹ × 15329¹ × 5749¹
LCM(91974,91984) = 4230068208