What is the Least Common Multiple of 61542 and 61562?

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 61542 and 61562 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61542 and 61562, than apply into the LCM equation.

GCF(61542,61562) = 2
LCM(61542,61562) = ( 61542 × 61562) / 2
LCM(61542,61562) = 3788648604 / 2
LCM(61542,61562) = 1894324302

Least Common Multiple (LCM) of 61542 and 61562 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61542 and 61562. First we will calculate the prime factors of 61542 and 61562.

Prime Factorization of 61542

Prime Factorization of 61562

Now multiplying the highest exponent prime factors to calculate the LCM of 61542 and 61562.

LCM(61542,61562) = 2¹ × 3² × 13¹ × 263¹ × 30781¹
LCM(61542,61562) = 1894324302