What is the Least Common Multiple of 73640 and 73649?

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 73640 and 73649 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73640 and 73649, than apply into the LCM equation.

GCF(73640,73649) = 1
LCM(73640,73649) = ( 73640 × 73649) / 1
LCM(73640,73649) = 5423512360 / 1
LCM(73640,73649) = 5423512360

Least Common Multiple (LCM) of 73640 and 73649 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73640 and 73649. First we will calculate the prime factors of 73640 and 73649.

Prime Factorization of 73640

Prime Factorization of 73649

Now multiplying the highest exponent prime factors to calculate the LCM of 73640 and 73649.

LCM(73640,73649) = 2³ × 5¹ × 7¹ × 263¹ × 47¹ × 1567¹
LCM(73640,73649) = 5423512360