What is the Least Common Multiple of 77105 and 77123?

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 77105 and 77123 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77105 and 77123, than apply into the LCM equation.

GCF(77105,77123) = 1
LCM(77105,77123) = ( 77105 × 77123) / 1
LCM(77105,77123) = 5946568915 / 1
LCM(77105,77123) = 5946568915

Least Common Multiple (LCM) of 77105 and 77123 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77105 and 77123. First we will calculate the prime factors of 77105 and 77123.

Prime Factorization of 77105

Prime Factorization of 77123

Now multiplying the highest exponent prime factors to calculate the LCM of 77105 and 77123.

LCM(77105,77123) = 5¹ × 7¹ × 2203¹ × 233¹ × 331¹
LCM(77105,77123) = 5946568915