What is the Least Common Multiple of 98964 and 98984?

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 98964 and 98984 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98964 and 98984, than apply into the LCM equation.

GCF(98964,98984) = 4
LCM(98964,98984) = ( 98964 × 98984) / 4
LCM(98964,98984) = 9795852576 / 4
LCM(98964,98984) = 2448963144

Least Common Multiple (LCM) of 98964 and 98984 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98964 and 98984. First we will calculate the prime factors of 98964 and 98984.

Prime Factorization of 98964

Prime Factorization of 98984

Now multiplying the highest exponent prime factors to calculate the LCM of 98964 and 98984.

LCM(98964,98984) = 2³ × 3² × 2749¹ × 12373¹
LCM(98964,98984) = 2448963144