What is the Least Common Multiple of 46050 and 46060?

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 46050 and 46060 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46050 and 46060, than apply into the LCM equation.

GCF(46050,46060) = 10
LCM(46050,46060) = ( 46050 × 46060) / 10
LCM(46050,46060) = 2121063000 / 10
LCM(46050,46060) = 212106300

Least Common Multiple (LCM) of 46050 and 46060 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46050 and 46060. First we will calculate the prime factors of 46050 and 46060.

Prime Factorization of 46050

Prime Factorization of 46060

Now multiplying the highest exponent prime factors to calculate the LCM of 46050 and 46060.

LCM(46050,46060) = 2² × 3¹ × 5² × 307¹ × 7² × 47¹
LCM(46050,46060) = 212106300