What is the Least Common Multiple of 69640 and 69647?

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 69640 and 69647 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69640 and 69647, than apply into the LCM equation.

GCF(69640,69647) = 1
LCM(69640,69647) = ( 69640 × 69647) / 1
LCM(69640,69647) = 4850217080 / 1
LCM(69640,69647) = 4850217080

Least Common Multiple (LCM) of 69640 and 69647 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69640 and 69647. First we will calculate the prime factors of 69640 and 69647.

Prime Factorization of 69640

Prime Factorization of 69647

Now multiplying the highest exponent prime factors to calculate the LCM of 69640 and 69647.

LCM(69640,69647) = 2³ × 5¹ × 1741¹ × 257¹ × 271¹
LCM(69640,69647) = 4850217080