What is the Least Common Multiple of 64030 and 64045?

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 64045 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 64045, than apply into the LCM equation.

GCF(64030,64045) = 5
LCM(64030,64045) = ( 64030 × 64045) / 5
LCM(64030,64045) = 4100801350 / 5
LCM(64030,64045) = 820160270

Least Common Multiple (LCM) of 64030 and 64045 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64030 and 64045. First we will calculate the prime factors of 64030 and 64045.

Prime Factorization of 64030

Prime Factorization of 64045

Now multiplying the highest exponent prime factors to calculate the LCM of 64030 and 64045.

LCM(64030,64045) = 2¹ × 5¹ × 19¹ × 337¹ × 12809¹
LCM(64030,64045) = 820160270