What is the Least Common Multiple of 99962 and 99970?

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 99962 and 99970 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99962 and 99970, than apply into the LCM equation.

GCF(99962,99970) = 2
LCM(99962,99970) = ( 99962 × 99970) / 2
LCM(99962,99970) = 9993201140 / 2
LCM(99962,99970) = 4996600570

Least Common Multiple (LCM) of 99962 and 99970 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99962 and 99970. First we will calculate the prime factors of 99962 and 99970.

Prime Factorization of 99962

Prime Factorization of 99970

Now multiplying the highest exponent prime factors to calculate the LCM of 99962 and 99970.

LCM(99962,99970) = 2¹ × 151¹ × 331¹ × 5¹ × 13¹ × 769¹
LCM(99962,99970) = 4996600570