What is the Least Common Multiple of 73282 and 73294?

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 73282 and 73294 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73282 and 73294, than apply into the LCM equation.

GCF(73282,73294) = 2
LCM(73282,73294) = ( 73282 × 73294) / 2
LCM(73282,73294) = 5371130908 / 2
LCM(73282,73294) = 2685565454

Least Common Multiple (LCM) of 73282 and 73294 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73282 and 73294. First we will calculate the prime factors of 73282 and 73294.

Prime Factorization of 73282

Prime Factorization of 73294

Now multiplying the highest exponent prime factors to calculate the LCM of 73282 and 73294.

LCM(73282,73294) = 2¹ × 11¹ × 3331¹ × 13¹ × 2819¹
LCM(73282,73294) = 2685565454