What is the Least Common Multiple of 42252 and 42265?

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 42252 and 42265 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42252 and 42265, than apply into the LCM equation.

GCF(42252,42265) = 1
LCM(42252,42265) = ( 42252 × 42265) / 1
LCM(42252,42265) = 1785780780 / 1
LCM(42252,42265) = 1785780780

Least Common Multiple (LCM) of 42252 and 42265 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42252 and 42265. First we will calculate the prime factors of 42252 and 42265.

Prime Factorization of 42252

Prime Factorization of 42265

Now multiplying the highest exponent prime factors to calculate the LCM of 42252 and 42265.

LCM(42252,42265) = 2² × 3¹ × 7¹ × 503¹ × 5¹ × 79¹ × 107¹
LCM(42252,42265) = 1785780780