What is the Least Common Multiple of 77194 and 77212?

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 77194 and 77212 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77194 and 77212, than apply into the LCM equation.

GCF(77194,77212) = 2
LCM(77194,77212) = ( 77194 × 77212) / 2
LCM(77194,77212) = 5960303128 / 2
LCM(77194,77212) = 2980151564

Least Common Multiple (LCM) of 77194 and 77212 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77194 and 77212. First we will calculate the prime factors of 77194 and 77212.

Prime Factorization of 77194

Prime Factorization of 77212

Now multiplying the highest exponent prime factors to calculate the LCM of 77194 and 77212.

LCM(77194,77212) = 2² × 13¹ × 2969¹ × 97¹ × 199¹
LCM(77194,77212) = 2980151564