What is the Least Common Multiple of 61758 and 61776?

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 61758 and 61776 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61758 and 61776, than apply into the LCM equation.

GCF(61758,61776) = 18
LCM(61758,61776) = ( 61758 × 61776) / 18
LCM(61758,61776) = 3815162208 / 18
LCM(61758,61776) = 211953456

Least Common Multiple (LCM) of 61758 and 61776 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61758 and 61776. First we will calculate the prime factors of 61758 and 61776.

Prime Factorization of 61758

Prime Factorization of 61776

Now multiplying the highest exponent prime factors to calculate the LCM of 61758 and 61776.

LCM(61758,61776) = 2⁴ × 3³ × 47¹ × 73¹ × 11¹ × 13¹
LCM(61758,61776) = 211953456