What is the Least Common Multiple of 46892 and 46901?

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 46892 and 46901 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46892 and 46901, than apply into the LCM equation.

GCF(46892,46901) = 1
LCM(46892,46901) = ( 46892 × 46901) / 1
LCM(46892,46901) = 2199281692 / 1
LCM(46892,46901) = 2199281692

Least Common Multiple (LCM) of 46892 and 46901 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46892 and 46901. First we will calculate the prime factors of 46892 and 46901.

Prime Factorization of 46892

Prime Factorization of 46901

Now multiplying the highest exponent prime factors to calculate the LCM of 46892 and 46901.

LCM(46892,46901) = 2² × 19¹ × 617¹ × 46901¹
LCM(46892,46901) = 2199281692