What is the Least Common Multiple of 60450 and 60469?

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 60450 and 60469 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60450 and 60469, than apply into the LCM equation.

GCF(60450,60469) = 1
LCM(60450,60469) = ( 60450 × 60469) / 1
LCM(60450,60469) = 3655351050 / 1
LCM(60450,60469) = 3655351050

Least Common Multiple (LCM) of 60450 and 60469 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60450 and 60469. First we will calculate the prime factors of 60450 and 60469.

Prime Factorization of 60450

Prime Factorization of 60469

Now multiplying the highest exponent prime factors to calculate the LCM of 60450 and 60469.

LCM(60450,60469) = 2¹ × 3¹ × 5² × 13¹ × 31¹ × 17¹ × 3557¹
LCM(60450,60469) = 3655351050