What is the Least Common Multiple of 35770 and 35787?

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 35770 and 35787 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35770 and 35787, than apply into the LCM equation.

GCF(35770,35787) = 1
LCM(35770,35787) = ( 35770 × 35787) / 1
LCM(35770,35787) = 1280100990 / 1
LCM(35770,35787) = 1280100990

Least Common Multiple (LCM) of 35770 and 35787 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35770 and 35787. First we will calculate the prime factors of 35770 and 35787.

Prime Factorization of 35770

Prime Factorization of 35787

Now multiplying the highest exponent prime factors to calculate the LCM of 35770 and 35787.

LCM(35770,35787) = 2¹ × 5¹ × 7² × 73¹ × 3¹ × 79¹ × 151¹
LCM(35770,35787) = 1280100990