What is the Least Common Multiple of 46760 and 46767?

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 46760 and 46767 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46760 and 46767, than apply into the LCM equation.

GCF(46760,46767) = 7
LCM(46760,46767) = ( 46760 × 46767) / 7
LCM(46760,46767) = 2186824920 / 7
LCM(46760,46767) = 312403560

Least Common Multiple (LCM) of 46760 and 46767 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46760 and 46767. First we will calculate the prime factors of 46760 and 46767.

Prime Factorization of 46760

Prime Factorization of 46767

Now multiplying the highest exponent prime factors to calculate the LCM of 46760 and 46767.

LCM(46760,46767) = 2³ × 5¹ × 7¹ × 167¹ × 3¹ × 17¹ × 131¹
LCM(46760,46767) = 312403560