What is the Least Common Multiple of 64030 and 64040?

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 64030 and 64040 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64030 and 64040, than apply into the LCM equation.

GCF(64030,64040) = 10
LCM(64030,64040) = ( 64030 × 64040) / 10
LCM(64030,64040) = 4100481200 / 10
LCM(64030,64040) = 410048120

Least Common Multiple (LCM) of 64030 and 64040 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64030 and 64040. First we will calculate the prime factors of 64030 and 64040.

Prime Factorization of 64030

Prime Factorization of 64040

Now multiplying the highest exponent prime factors to calculate the LCM of 64030 and 64040.

LCM(64030,64040) = 2³ × 5¹ × 19¹ × 337¹ × 1601¹
LCM(64030,64040) = 410048120