What is the Least Common Multiple of 76192 and 76206?

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 76192 and 76206 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76192 and 76206, than apply into the LCM equation.

GCF(76192,76206) = 2
LCM(76192,76206) = ( 76192 × 76206) / 2
LCM(76192,76206) = 5806287552 / 2
LCM(76192,76206) = 2903143776

Least Common Multiple (LCM) of 76192 and 76206 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76192 and 76206. First we will calculate the prime factors of 76192 and 76206.

Prime Factorization of 76192

Prime Factorization of 76206

Now multiplying the highest exponent prime factors to calculate the LCM of 76192 and 76206.

LCM(76192,76206) = 2⁵ × 2381¹ × 3¹ × 13¹ × 977¹
LCM(76192,76206) = 2903143776