What is the Least Common Multiple of 73713 and 73730?

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 73713 and 73730 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73713 and 73730, than apply into the LCM equation.

GCF(73713,73730) = 1
LCM(73713,73730) = ( 73713 × 73730) / 1
LCM(73713,73730) = 5434859490 / 1
LCM(73713,73730) = 5434859490

Least Common Multiple (LCM) of 73713 and 73730 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73713 and 73730. First we will calculate the prime factors of 73713 and 73730.

Prime Factorization of 73713

Prime Factorization of 73730

Now multiplying the highest exponent prime factors to calculate the LCM of 73713 and 73730.

LCM(73713,73730) = 3¹ × 24571¹ × 2¹ × 5¹ × 73¹ × 101¹
LCM(73713,73730) = 5434859490