What is the Least Common Multiple of 37770 and 37775?

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 37770 and 37775 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37770 and 37775, than apply into the LCM equation.

GCF(37770,37775) = 5
LCM(37770,37775) = ( 37770 × 37775) / 5
LCM(37770,37775) = 1426761750 / 5
LCM(37770,37775) = 285352350

Least Common Multiple (LCM) of 37770 and 37775 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37770 and 37775. First we will calculate the prime factors of 37770 and 37775.

Prime Factorization of 37770

Prime Factorization of 37775

Now multiplying the highest exponent prime factors to calculate the LCM of 37770 and 37775.

LCM(37770,37775) = 2¹ × 3¹ × 5² × 1259¹ × 1511¹
LCM(37770,37775) = 285352350