What is the Least Common Multiple of 73408 and 73420?

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 73408 and 73420 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73408 and 73420, than apply into the LCM equation.

GCF(73408,73420) = 4
LCM(73408,73420) = ( 73408 × 73420) / 4
LCM(73408,73420) = 5389615360 / 4
LCM(73408,73420) = 1347403840

Least Common Multiple (LCM) of 73408 and 73420 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73408 and 73420. First we will calculate the prime factors of 73408 and 73420.

Prime Factorization of 73408

Prime Factorization of 73420

Now multiplying the highest exponent prime factors to calculate the LCM of 73408 and 73420.

LCM(73408,73420) = 2⁶ × 31¹ × 37¹ × 5¹ × 3671¹
LCM(73408,73420) = 1347403840