What is the Least Common Multiple of 79763 and 79783?

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 79763 and 79783 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79763 and 79783, than apply into the LCM equation.

GCF(79763,79783) = 1
LCM(79763,79783) = ( 79763 × 79783) / 1
LCM(79763,79783) = 6363731429 / 1
LCM(79763,79783) = 6363731429

Least Common Multiple (LCM) of 79763 and 79783 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79763 and 79783. First we will calculate the prime factors of 79763 and 79783.

Prime Factorization of 79763

Prime Factorization of 79783

Now multiplying the highest exponent prime factors to calculate the LCM of 79763 and 79783.

LCM(79763,79783) = 31² × 83¹ × 11¹ × 7253¹
LCM(79763,79783) = 6363731429