What is the Least Common Multiple of 57759 and 57766?

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 57759 and 57766 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57759 and 57766, than apply into the LCM equation.

GCF(57759,57766) = 1
LCM(57759,57766) = ( 57759 × 57766) / 1
LCM(57759,57766) = 3336506394 / 1
LCM(57759,57766) = 3336506394

Least Common Multiple (LCM) of 57759 and 57766 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57759 and 57766. First we will calculate the prime factors of 57759 and 57766.

Prime Factorization of 57759

Prime Factorization of 57766

Now multiplying the highest exponent prime factors to calculate the LCM of 57759 and 57766.

LCM(57759,57766) = 3¹ × 13¹ × 1481¹ × 2¹ × 17¹ × 1699¹
LCM(57759,57766) = 3336506394