What is the Least Common Multiple of 61761 and 61768?

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 61761 and 61768 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61761 and 61768, than apply into the LCM equation.

GCF(61761,61768) = 7
LCM(61761,61768) = ( 61761 × 61768) / 7
LCM(61761,61768) = 3814853448 / 7
LCM(61761,61768) = 544979064

Least Common Multiple (LCM) of 61761 and 61768 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61761 and 61768. First we will calculate the prime factors of 61761 and 61768.

Prime Factorization of 61761

Prime Factorization of 61768

Now multiplying the highest exponent prime factors to calculate the LCM of 61761 and 61768.

LCM(61761,61768) = 3¹ × 7¹ × 17¹ × 173¹ × 2³ × 1103¹
LCM(61761,61768) = 544979064