What is the Least Common Multiple of 64935 and 64947?

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 64935 and 64947 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64935 and 64947, than apply into the LCM equation.

GCF(64935,64947) = 3
LCM(64935,64947) = ( 64935 × 64947) / 3
LCM(64935,64947) = 4217333445 / 3
LCM(64935,64947) = 1405777815

Least Common Multiple (LCM) of 64935 and 64947 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64935 and 64947. First we will calculate the prime factors of 64935 and 64947.

Prime Factorization of 64935

Prime Factorization of 64947

Now multiplying the highest exponent prime factors to calculate the LCM of 64935 and 64947.

LCM(64935,64947) = 3³ × 5¹ × 13¹ × 37¹ × 21649¹
LCM(64935,64947) = 1405777815