What is the Least Common Multiple of 76760 and 76766?

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 76760 and 76766 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76760 and 76766, than apply into the LCM equation.

GCF(76760,76766) = 2
LCM(76760,76766) = ( 76760 × 76766) / 2
LCM(76760,76766) = 5892558160 / 2
LCM(76760,76766) = 2946279080

Least Common Multiple (LCM) of 76760 and 76766 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76760 and 76766. First we will calculate the prime factors of 76760 and 76766.

Prime Factorization of 76760

Prime Factorization of 76766

Now multiplying the highest exponent prime factors to calculate the LCM of 76760 and 76766.

LCM(76760,76766) = 2³ × 5¹ × 19¹ × 101¹ × 131¹ × 293¹
LCM(76760,76766) = 2946279080