What is the Least Common Multiple of 70979 and 70995?

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 70979 and 70995 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70979 and 70995, than apply into the LCM equation.

GCF(70979,70995) = 1
LCM(70979,70995) = ( 70979 × 70995) / 1
LCM(70979,70995) = 5039154105 / 1
LCM(70979,70995) = 5039154105

Least Common Multiple (LCM) of 70979 and 70995 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70979 and 70995. First we will calculate the prime factors of 70979 and 70995.

Prime Factorization of 70979

Prime Factorization of 70995

Now multiplying the highest exponent prime factors to calculate the LCM of 70979 and 70995.

LCM(70979,70995) = 70979¹ × 3¹ × 5¹ × 4733¹
LCM(70979,70995) = 5039154105