What is the Least Common Multiple of 99758 and 99772?

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 99758 and 99772 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99758 and 99772, than apply into the LCM equation.

GCF(99758,99772) = 2
LCM(99758,99772) = ( 99758 × 99772) / 2
LCM(99758,99772) = 9953055176 / 2
LCM(99758,99772) = 4976527588

Least Common Multiple (LCM) of 99758 and 99772 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99758 and 99772. First we will calculate the prime factors of 99758 and 99772.

Prime Factorization of 99758

Prime Factorization of 99772

Now multiplying the highest exponent prime factors to calculate the LCM of 99758 and 99772.

LCM(99758,99772) = 2² × 31¹ × 1609¹ × 24943¹
LCM(99758,99772) = 4976527588