What is the Least Common Multiple of 61661 and 61672?

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 61661 and 61672 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61661 and 61672, than apply into the LCM equation.

GCF(61661,61672) = 1
LCM(61661,61672) = ( 61661 × 61672) / 1
LCM(61661,61672) = 3802757192 / 1
LCM(61661,61672) = 3802757192

Least Common Multiple (LCM) of 61661 and 61672 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61661 and 61672. First we will calculate the prime factors of 61661 and 61672.

Prime Factorization of 61661

Prime Factorization of 61672

Now multiplying the highest exponent prime factors to calculate the LCM of 61661 and 61672.

LCM(61661,61672) = 197¹ × 313¹ × 2³ × 13¹ × 593¹
LCM(61661,61672) = 3802757192