What is the Least Common Multiple of 70172 and 70186?

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 70172 and 70186 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70172 and 70186, than apply into the LCM equation.

GCF(70172,70186) = 2
LCM(70172,70186) = ( 70172 × 70186) / 2
LCM(70172,70186) = 4925091992 / 2
LCM(70172,70186) = 2462545996

Least Common Multiple (LCM) of 70172 and 70186 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70172 and 70186. First we will calculate the prime factors of 70172 and 70186.

Prime Factorization of 70172

Prime Factorization of 70186

Now multiplying the highest exponent prime factors to calculate the LCM of 70172 and 70186.

LCM(70172,70186) = 2² × 53¹ × 331¹ × 19¹ × 1847¹
LCM(70172,70186) = 2462545996