What is the Least Common Multiple of 79755 and 79767?

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 79755 and 79767 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79755 and 79767, than apply into the LCM equation.

GCF(79755,79767) = 3
LCM(79755,79767) = ( 79755 × 79767) / 3
LCM(79755,79767) = 6361817085 / 3
LCM(79755,79767) = 2120605695

Least Common Multiple (LCM) of 79755 and 79767 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79755 and 79767. First we will calculate the prime factors of 79755 and 79767.

Prime Factorization of 79755

Prime Factorization of 79767

Now multiplying the highest exponent prime factors to calculate the LCM of 79755 and 79767.

LCM(79755,79767) = 3² × 5¹ × 13¹ × 409¹ × 8863¹
LCM(79755,79767) = 2120605695