What is the Least Common Multiple of 61740 and 61760?

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 61740 and 61760 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61740 and 61760, than apply into the LCM equation.

GCF(61740,61760) = 20
LCM(61740,61760) = ( 61740 × 61760) / 20
LCM(61740,61760) = 3813062400 / 20
LCM(61740,61760) = 190653120

Least Common Multiple (LCM) of 61740 and 61760 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61740 and 61760. First we will calculate the prime factors of 61740 and 61760.

Prime Factorization of 61740

Prime Factorization of 61760

Now multiplying the highest exponent prime factors to calculate the LCM of 61740 and 61760.

LCM(61740,61760) = 2⁶ × 3² × 5¹ × 7³ × 193¹
LCM(61740,61760) = 190653120