What is the Least Common Multiple of 66045 and 66052?

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 66045 and 66052 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66045 and 66052, than apply into the LCM equation.

GCF(66045,66052) = 7
LCM(66045,66052) = ( 66045 × 66052) / 7
LCM(66045,66052) = 4362404340 / 7
LCM(66045,66052) = 623200620

Least Common Multiple (LCM) of 66045 and 66052 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66045 and 66052. First we will calculate the prime factors of 66045 and 66052.

Prime Factorization of 66045

Prime Factorization of 66052

Now multiplying the highest exponent prime factors to calculate the LCM of 66045 and 66052.

LCM(66045,66052) = 3¹ × 5¹ × 7² × 17¹ × 37¹ × 2² × 337¹
LCM(66045,66052) = 623200620