What is the Least Common Multiple of 42245 and 42252?

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 42245 and 42252 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42245 and 42252, than apply into the LCM equation.

GCF(42245,42252) = 7
LCM(42245,42252) = ( 42245 × 42252) / 7
LCM(42245,42252) = 1784935740 / 7
LCM(42245,42252) = 254990820

Least Common Multiple (LCM) of 42245 and 42252 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42245 and 42252. First we will calculate the prime factors of 42245 and 42252.

Prime Factorization of 42245

Prime Factorization of 42252

Now multiplying the highest exponent prime factors to calculate the LCM of 42245 and 42252.

LCM(42245,42252) = 5¹ × 7¹ × 17¹ × 71¹ × 2² × 3¹ × 503¹
LCM(42245,42252) = 254990820