What is the Least Common Multiple of 64450 and 64470?

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 64450 and 64470 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64450 and 64470, than apply into the LCM equation.

GCF(64450,64470) = 10
LCM(64450,64470) = ( 64450 × 64470) / 10
LCM(64450,64470) = 4155091500 / 10
LCM(64450,64470) = 415509150

Least Common Multiple (LCM) of 64450 and 64470 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64450 and 64470. First we will calculate the prime factors of 64450 and 64470.

Prime Factorization of 64450

Prime Factorization of 64470

Now multiplying the highest exponent prime factors to calculate the LCM of 64450 and 64470.

LCM(64450,64470) = 2¹ × 5² × 1289¹ × 3¹ × 7¹ × 307¹
LCM(64450,64470) = 415509150