What is the Least Common Multiple of 79745 and 79765?

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 79745 and 79765 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79745 and 79765, than apply into the LCM equation.

GCF(79745,79765) = 5
LCM(79745,79765) = ( 79745 × 79765) / 5
LCM(79745,79765) = 6360859925 / 5
LCM(79745,79765) = 1272171985

Least Common Multiple (LCM) of 79745 and 79765 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79745 and 79765. First we will calculate the prime factors of 79745 and 79765.

Prime Factorization of 79745

Prime Factorization of 79765

Now multiplying the highest exponent prime factors to calculate the LCM of 79745 and 79765.

LCM(79745,79765) = 5¹ × 41¹ × 389¹ × 7¹ × 43¹ × 53¹
LCM(79745,79765) = 1272171985