What is the Least Common Multiple of 64490 and 64496?

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 64490 and 64496 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64490 and 64496, than apply into the LCM equation.

GCF(64490,64496) = 2
LCM(64490,64496) = ( 64490 × 64496) / 2
LCM(64490,64496) = 4159347040 / 2
LCM(64490,64496) = 2079673520

Least Common Multiple (LCM) of 64490 and 64496 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64490 and 64496. First we will calculate the prime factors of 64490 and 64496.

Prime Factorization of 64490

Prime Factorization of 64496

Now multiplying the highest exponent prime factors to calculate the LCM of 64490 and 64496.

LCM(64490,64496) = 2⁴ × 5¹ × 6449¹ × 29¹ × 139¹
LCM(64490,64496) = 2079673520