What is the Least Common Multiple of 46610 and 46630?

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 46610 and 46630 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46610 and 46630, than apply into the LCM equation.

GCF(46610,46630) = 10
LCM(46610,46630) = ( 46610 × 46630) / 10
LCM(46610,46630) = 2173424300 / 10
LCM(46610,46630) = 217342430

Least Common Multiple (LCM) of 46610 and 46630 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46610 and 46630. First we will calculate the prime factors of 46610 and 46630.

Prime Factorization of 46610

Prime Factorization of 46630

Now multiplying the highest exponent prime factors to calculate the LCM of 46610 and 46630.

LCM(46610,46630) = 2¹ × 5¹ × 59¹ × 79¹ × 4663¹
LCM(46610,46630) = 217342430