What is the Least Common Multiple of 64498 and 64505?

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 64498 and 64505 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64498 and 64505, than apply into the LCM equation.

GCF(64498,64505) = 7
LCM(64498,64505) = ( 64498 × 64505) / 7
LCM(64498,64505) = 4160443490 / 7
LCM(64498,64505) = 594349070

Least Common Multiple (LCM) of 64498 and 64505 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64498 and 64505. First we will calculate the prime factors of 64498 and 64505.

Prime Factorization of 64498

Prime Factorization of 64505

Now multiplying the highest exponent prime factors to calculate the LCM of 64498 and 64505.

LCM(64498,64505) = 2¹ × 7¹ × 17¹ × 271¹ × 5¹ × 19¹ × 97¹
LCM(64498,64505) = 594349070