What is the Least Common Multiple of 79935 and 79941?

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 79935 and 79941 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79935 and 79941, than apply into the LCM equation.

GCF(79935,79941) = 3
LCM(79935,79941) = ( 79935 × 79941) / 3
LCM(79935,79941) = 6390083835 / 3
LCM(79935,79941) = 2130027945

Least Common Multiple (LCM) of 79935 and 79941 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79935 and 79941. First we will calculate the prime factors of 79935 and 79941.

Prime Factorization of 79935

Prime Factorization of 79941

Now multiplying the highest exponent prime factors to calculate the LCM of 79935 and 79941.

LCM(79935,79941) = 3¹ × 5¹ × 73² × 26647¹
LCM(79935,79941) = 2130027945