What is the Least Common Multiple of 93640 and 93649?

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 93640 and 93649 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93640 and 93649, than apply into the LCM equation.

GCF(93640,93649) = 1
LCM(93640,93649) = ( 93640 × 93649) / 1
LCM(93640,93649) = 8769292360 / 1
LCM(93640,93649) = 8769292360

Least Common Multiple (LCM) of 93640 and 93649 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93640 and 93649. First we will calculate the prime factors of 93640 and 93649.

Prime Factorization of 93640

Prime Factorization of 93649

Now multiplying the highest exponent prime factors to calculate the LCM of 93640 and 93649.

LCM(93640,93649) = 2³ × 5¹ × 2341¹ × 71¹ × 1319¹
LCM(93640,93649) = 8769292360