What is the Least Common Multiple of 69915 and 69935?

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 69915 and 69935 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69915 and 69935, than apply into the LCM equation.

GCF(69915,69935) = 5
LCM(69915,69935) = ( 69915 × 69935) / 5
LCM(69915,69935) = 4889505525 / 5
LCM(69915,69935) = 977901105

Least Common Multiple (LCM) of 69915 and 69935 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69915 and 69935. First we will calculate the prime factors of 69915 and 69935.

Prime Factorization of 69915

Prime Factorization of 69935

Now multiplying the highest exponent prime factors to calculate the LCM of 69915 and 69935.

LCM(69915,69935) = 3¹ × 5¹ × 59¹ × 79¹ × 71¹ × 197¹
LCM(69915,69935) = 977901105