What is the Least Common Multiple of 79935 and 79945?

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 79945 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 79945, than apply into the LCM equation.

GCF(79935,79945) = 5
LCM(79935,79945) = ( 79935 × 79945) / 5
LCM(79935,79945) = 6390403575 / 5
LCM(79935,79945) = 1278080715

Least Common Multiple (LCM) of 79935 and 79945 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79935 and 79945. First we will calculate the prime factors of 79935 and 79945.

Prime Factorization of 79935

Prime Factorization of 79945

Now multiplying the highest exponent prime factors to calculate the LCM of 79935 and 79945.

LCM(79935,79945) = 3¹ × 5¹ × 73² × 59¹ × 271¹
LCM(79935,79945) = 1278080715