What is the Least Common Multiple of 99945 and 99962?

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 99945 and 99962 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99945 and 99962, than apply into the LCM equation.

GCF(99945,99962) = 1
LCM(99945,99962) = ( 99945 × 99962) / 1
LCM(99945,99962) = 9990702090 / 1
LCM(99945,99962) = 9990702090

Least Common Multiple (LCM) of 99945 and 99962 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99945 and 99962. First we will calculate the prime factors of 99945 and 99962.

Prime Factorization of 99945

Prime Factorization of 99962

Now multiplying the highest exponent prime factors to calculate the LCM of 99945 and 99962.

LCM(99945,99962) = 3² × 5¹ × 2221¹ × 2¹ × 151¹ × 331¹
LCM(99945,99962) = 9990702090