What is the Least Common Multiple of 46345 and 46355?

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 46345 and 46355 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46345 and 46355, than apply into the LCM equation.

GCF(46345,46355) = 5
LCM(46345,46355) = ( 46345 × 46355) / 5
LCM(46345,46355) = 2148322475 / 5
LCM(46345,46355) = 429664495

Least Common Multiple (LCM) of 46345 and 46355 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46345 and 46355. First we will calculate the prime factors of 46345 and 46355.

Prime Factorization of 46345

Prime Factorization of 46355

Now multiplying the highest exponent prime factors to calculate the LCM of 46345 and 46355.

LCM(46345,46355) = 5¹ × 13¹ × 23¹ × 31¹ × 73¹ × 127¹
LCM(46345,46355) = 429664495