What is the Least Common Multiple of 79945 and 79955?

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 79945 and 79955 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79945 and 79955, than apply into the LCM equation.

GCF(79945,79955) = 5
LCM(79945,79955) = ( 79945 × 79955) / 5
LCM(79945,79955) = 6392002475 / 5
LCM(79945,79955) = 1278400495

Least Common Multiple (LCM) of 79945 and 79955 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79945 and 79955. First we will calculate the prime factors of 79945 and 79955.

Prime Factorization of 79945

Prime Factorization of 79955

Now multiplying the highest exponent prime factors to calculate the LCM of 79945 and 79955.

LCM(79945,79955) = 5¹ × 59¹ × 271¹ × 15991¹
LCM(79945,79955) = 1278400495