What is the Least Common Multiple of 37770 and 37780?

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 37780 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 37780, than apply into the LCM equation.

GCF(37770,37780) = 10
LCM(37770,37780) = ( 37770 × 37780) / 10
LCM(37770,37780) = 1426950600 / 10
LCM(37770,37780) = 142695060

Least Common Multiple (LCM) of 37770 and 37780 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37770 and 37780. First we will calculate the prime factors of 37770 and 37780.

Prime Factorization of 37770

Prime Factorization of 37780

Now multiplying the highest exponent prime factors to calculate the LCM of 37770 and 37780.

LCM(37770,37780) = 2² × 3¹ × 5¹ × 1259¹ × 1889¹
LCM(37770,37780) = 142695060