What is the Least Common Multiple of 79905 and 79925?

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 79905 and 79925 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79905 and 79925, than apply into the LCM equation.

GCF(79905,79925) = 5
LCM(79905,79925) = ( 79905 × 79925) / 5
LCM(79905,79925) = 6386407125 / 5
LCM(79905,79925) = 1277281425

Least Common Multiple (LCM) of 79905 and 79925 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79905 and 79925. First we will calculate the prime factors of 79905 and 79925.

Prime Factorization of 79905

Prime Factorization of 79925

Now multiplying the highest exponent prime factors to calculate the LCM of 79905 and 79925.

LCM(79905,79925) = 3¹ × 5² × 7¹ × 761¹ × 23¹ × 139¹
LCM(79905,79925) = 1277281425