What is the Least Common Multiple of 83509 and 83518?

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 83509 and 83518 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83509 and 83518, than apply into the LCM equation.

GCF(83509,83518) = 1
LCM(83509,83518) = ( 83509 × 83518) / 1
LCM(83509,83518) = 6974504662 / 1
LCM(83509,83518) = 6974504662

Least Common Multiple (LCM) of 83509 and 83518 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83509 and 83518. First we will calculate the prime factors of 83509 and 83518.

Prime Factorization of 83509

Prime Factorization of 83518

Now multiplying the highest exponent prime factors to calculate the LCM of 83509 and 83518.

LCM(83509,83518) = 37² × 61¹ × 2¹ × 41759¹
LCM(83509,83518) = 6974504662