What is the Least Common Multiple of 56202 and 56211?

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 56202 and 56211 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56202 and 56211, than apply into the LCM equation.

GCF(56202,56211) = 3
LCM(56202,56211) = ( 56202 × 56211) / 3
LCM(56202,56211) = 3159170622 / 3
LCM(56202,56211) = 1053056874

Least Common Multiple (LCM) of 56202 and 56211 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56202 and 56211. First we will calculate the prime factors of 56202 and 56211.

Prime Factorization of 56202

Prime Factorization of 56211

Now multiplying the highest exponent prime factors to calculate the LCM of 56202 and 56211.

LCM(56202,56211) = 2¹ × 3¹ × 17¹ × 19¹ × 29¹ × 41¹ × 457¹
LCM(56202,56211) = 1053056874