What is the Least Common Multiple of 70476 and 70494?

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 70476 and 70494 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70476 and 70494, than apply into the LCM equation.

GCF(70476,70494) = 6
LCM(70476,70494) = ( 70476 × 70494) / 6
LCM(70476,70494) = 4968135144 / 6
LCM(70476,70494) = 828022524

Least Common Multiple (LCM) of 70476 and 70494 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70476 and 70494. First we will calculate the prime factors of 70476 and 70494.

Prime Factorization of 70476

Prime Factorization of 70494

Now multiplying the highest exponent prime factors to calculate the LCM of 70476 and 70494.

LCM(70476,70494) = 2² × 3¹ × 7¹ × 839¹ × 31¹ × 379¹
LCM(70476,70494) = 828022524