What is the Least Common Multiple of 64050 and 64064?

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 64050 and 64064 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64050 and 64064, than apply into the LCM equation.

GCF(64050,64064) = 14
LCM(64050,64064) = ( 64050 × 64064) / 14
LCM(64050,64064) = 4103299200 / 14
LCM(64050,64064) = 293092800

Least Common Multiple (LCM) of 64050 and 64064 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64050 and 64064. First we will calculate the prime factors of 64050 and 64064.

Prime Factorization of 64050

Prime Factorization of 64064

Now multiplying the highest exponent prime factors to calculate the LCM of 64050 and 64064.

LCM(64050,64064) = 2⁶ × 3¹ × 5² × 7¹ × 61¹ × 11¹ × 13¹
LCM(64050,64064) = 293092800