What is the Least Common Multiple of 77242 and 77253?

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 77242 and 77253 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77242 and 77253, than apply into the LCM equation.

GCF(77242,77253) = 11
LCM(77242,77253) = ( 77242 × 77253) / 11
LCM(77242,77253) = 5967176226 / 11
LCM(77242,77253) = 542470566

Least Common Multiple (LCM) of 77242 and 77253 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77242 and 77253. First we will calculate the prime factors of 77242 and 77253.

Prime Factorization of 77242

Prime Factorization of 77253

Now multiplying the highest exponent prime factors to calculate the LCM of 77242 and 77253.

LCM(77242,77253) = 2¹ × 11¹ × 3511¹ × 3¹ × 2341¹
LCM(77242,77253) = 542470566