What is the Least Common Multiple of 70923 and 70941?

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 70923 and 70941 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70923 and 70941, than apply into the LCM equation.

GCF(70923,70941) = 3
LCM(70923,70941) = ( 70923 × 70941) / 3
LCM(70923,70941) = 5031348543 / 3
LCM(70923,70941) = 1677116181

Least Common Multiple (LCM) of 70923 and 70941 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70923 and 70941. First we will calculate the prime factors of 70923 and 70941.

Prime Factorization of 70923

Prime Factorization of 70941

Now multiplying the highest exponent prime factors to calculate the LCM of 70923 and 70941.

LCM(70923,70941) = 3¹ × 47¹ × 503¹ × 13¹ × 17¹ × 107¹
LCM(70923,70941) = 1677116181