What is the Least Common Multiple of 73398 and 73408?

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 73398 and 73408 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73398 and 73408, than apply into the LCM equation.

GCF(73398,73408) = 2
LCM(73398,73408) = ( 73398 × 73408) / 2
LCM(73398,73408) = 5388000384 / 2
LCM(73398,73408) = 2694000192

Least Common Multiple (LCM) of 73398 and 73408 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73398 and 73408. First we will calculate the prime factors of 73398 and 73408.

Prime Factorization of 73398

Prime Factorization of 73408

Now multiplying the highest exponent prime factors to calculate the LCM of 73398 and 73408.

LCM(73398,73408) = 2⁶ × 3¹ × 13¹ × 941¹ × 31¹ × 37¹
LCM(73398,73408) = 2694000192