What is the Least Common Multiple of 77946 and 77962?

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 77946 and 77962 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77946 and 77962, than apply into the LCM equation.

GCF(77946,77962) = 2
LCM(77946,77962) = ( 77946 × 77962) / 2
LCM(77946,77962) = 6076826052 / 2
LCM(77946,77962) = 3038413026

Least Common Multiple (LCM) of 77946 and 77962 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77946 and 77962. First we will calculate the prime factors of 77946 and 77962.

Prime Factorization of 77946

Prime Factorization of 77962

Now multiplying the highest exponent prime factors to calculate the LCM of 77946 and 77962.

LCM(77946,77962) = 2¹ × 3¹ × 11¹ × 1181¹ × 17¹ × 2293¹
LCM(77946,77962) = 3038413026