What is the Least Common Multiple of 61562 and 61574?

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 61562 and 61574 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61562 and 61574, than apply into the LCM equation.

GCF(61562,61574) = 2
LCM(61562,61574) = ( 61562 × 61574) / 2
LCM(61562,61574) = 3790618588 / 2
LCM(61562,61574) = 1895309294

Least Common Multiple (LCM) of 61562 and 61574 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61562 and 61574. First we will calculate the prime factors of 61562 and 61574.

Prime Factorization of 61562

Prime Factorization of 61574

Now multiplying the highest exponent prime factors to calculate the LCM of 61562 and 61574.

LCM(61562,61574) = 2¹ × 30781¹ × 17¹ × 1811¹
LCM(61562,61574) = 1895309294