What is the Least Common Multiple of 93639 and 93647?

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 93639 and 93647 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93639 and 93647, than apply into the LCM equation.

GCF(93639,93647) = 1
LCM(93639,93647) = ( 93639 × 93647) / 1
LCM(93639,93647) = 8769011433 / 1
LCM(93639,93647) = 8769011433

Least Common Multiple (LCM) of 93639 and 93647 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93639 and 93647. First we will calculate the prime factors of 93639 and 93647.

Prime Factorization of 93639

Prime Factorization of 93647

Now multiplying the highest exponent prime factors to calculate the LCM of 93639 and 93647.

LCM(93639,93647) = 3¹ × 7⁴ × 13¹ × 37¹ × 2531¹
LCM(93639,93647) = 8769011433