What is the Least Common Multiple of 61758 and 61767?

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 61767 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 61767, than apply into the LCM equation.

GCF(61758,61767) = 9
LCM(61758,61767) = ( 61758 × 61767) / 9
LCM(61758,61767) = 3814606386 / 9
LCM(61758,61767) = 423845154

Least Common Multiple (LCM) of 61758 and 61767 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61758 and 61767. First we will calculate the prime factors of 61758 and 61767.

Prime Factorization of 61758

Prime Factorization of 61767

Now multiplying the highest exponent prime factors to calculate the LCM of 61758 and 61767.

LCM(61758,61767) = 2¹ × 3² × 47¹ × 73¹ × 6863¹
LCM(61758,61767) = 423845154