What is the Least Common Multiple of 76101 and 76109?

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 76101 and 76109 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76101 and 76109, than apply into the LCM equation.

GCF(76101,76109) = 1
LCM(76101,76109) = ( 76101 × 76109) / 1
LCM(76101,76109) = 5791971009 / 1
LCM(76101,76109) = 5791971009

Least Common Multiple (LCM) of 76101 and 76109 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76101 and 76109. First we will calculate the prime factors of 76101 and 76109.

Prime Factorization of 76101

Prime Factorization of 76109

Now multiplying the highest exponent prime factors to calculate the LCM of 76101 and 76109.

LCM(76101,76109) = 3¹ × 25367¹ × 11² × 17¹ × 37¹
LCM(76101,76109) = 5791971009