What is the Least Common Multiple of 70912 and 70924?

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 70912 and 70924 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70912 and 70924, than apply into the LCM equation.

GCF(70912,70924) = 4
LCM(70912,70924) = ( 70912 × 70924) / 4
LCM(70912,70924) = 5029362688 / 4
LCM(70912,70924) = 1257340672

Least Common Multiple (LCM) of 70912 and 70924 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70912 and 70924. First we will calculate the prime factors of 70912 and 70924.

Prime Factorization of 70912

Prime Factorization of 70924

Now multiplying the highest exponent prime factors to calculate the LCM of 70912 and 70924.

LCM(70912,70924) = 2⁸ × 277¹ × 7¹ × 17¹ × 149¹
LCM(70912,70924) = 1257340672