What is the Least Common Multiple of 61456 and 61470?

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 61456 and 61470 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61456 and 61470, than apply into the LCM equation.

GCF(61456,61470) = 2
LCM(61456,61470) = ( 61456 × 61470) / 2
LCM(61456,61470) = 3777700320 / 2
LCM(61456,61470) = 1888850160

Least Common Multiple (LCM) of 61456 and 61470 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61456 and 61470. First we will calculate the prime factors of 61456 and 61470.

Prime Factorization of 61456

Prime Factorization of 61470

Now multiplying the highest exponent prime factors to calculate the LCM of 61456 and 61470.

LCM(61456,61470) = 2⁴ × 23¹ × 167¹ × 3² × 5¹ × 683¹
LCM(61456,61470) = 1888850160