What is the Least Common Multiple of 73780 and 73797?

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 73780 and 73797 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73780 and 73797, than apply into the LCM equation.

GCF(73780,73797) = 17
LCM(73780,73797) = ( 73780 × 73797) / 17
LCM(73780,73797) = 5444742660 / 17
LCM(73780,73797) = 320278980

Least Common Multiple (LCM) of 73780 and 73797 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73780 and 73797. First we will calculate the prime factors of 73780 and 73797.

Prime Factorization of 73780

Prime Factorization of 73797

Now multiplying the highest exponent prime factors to calculate the LCM of 73780 and 73797.

LCM(73780,73797) = 2² × 5¹ × 7¹ × 17¹ × 31¹ × 3¹ × 1447¹
LCM(73780,73797) = 320278980