What is the Least Common Multiple of 70902 and 70912?

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 70902 and 70912 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70902 and 70912, than apply into the LCM equation.

GCF(70902,70912) = 2
LCM(70902,70912) = ( 70902 × 70912) / 2
LCM(70902,70912) = 5027802624 / 2
LCM(70902,70912) = 2513901312

Least Common Multiple (LCM) of 70902 and 70912 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70902 and 70912. First we will calculate the prime factors of 70902 and 70912.

Prime Factorization of 70902

Prime Factorization of 70912

Now multiplying the highest exponent prime factors to calculate the LCM of 70902 and 70912.

LCM(70902,70912) = 2⁸ × 3³ × 13¹ × 101¹ × 277¹
LCM(70902,70912) = 2513901312