What is the Least Common Multiple of 46060 and 46080?

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 46060 and 46080 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46060 and 46080, than apply into the LCM equation.

GCF(46060,46080) = 20
LCM(46060,46080) = ( 46060 × 46080) / 20
LCM(46060,46080) = 2122444800 / 20
LCM(46060,46080) = 106122240

Least Common Multiple (LCM) of 46060 and 46080 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46060 and 46080. First we will calculate the prime factors of 46060 and 46080.

Prime Factorization of 46060

Prime Factorization of 46080

Now multiplying the highest exponent prime factors to calculate the LCM of 46060 and 46080.

LCM(46060,46080) = 2¹⁰ × 5¹ × 7² × 47¹ × 3²
LCM(46060,46080) = 106122240