What is the Least Common Multiple of 61670 and 61682?

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 61670 and 61682 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61670 and 61682, than apply into the LCM equation.

GCF(61670,61682) = 2
LCM(61670,61682) = ( 61670 × 61682) / 2
LCM(61670,61682) = 3803928940 / 2
LCM(61670,61682) = 1901964470

Least Common Multiple (LCM) of 61670 and 61682 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61670 and 61682. First we will calculate the prime factors of 61670 and 61682.

Prime Factorization of 61670

Prime Factorization of 61682

Now multiplying the highest exponent prime factors to calculate the LCM of 61670 and 61682.

LCM(61670,61682) = 2¹ × 5¹ × 7¹ × 881¹ × 30841¹
LCM(61670,61682) = 1901964470