What is the Least Common Multiple of 60629 and 60635?
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 (LCM) of 60629 and 60635 is 3676239415.
LCM(60629,60635) = 3676239415
Least Common Multiple of 60629 and 60635 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60629 and 60635, than apply into the LCM equation.
GCF(60629,60635) = 1
LCM(60629,60635) = ( 60629 × 60635) / 1
LCM(60629,60635) = 3676239415 / 1
LCM(60629,60635) = 3676239415
Least Common Multiple (LCM) of 60629 and 60635 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60629 and 60635. First we will calculate the prime factors of 60629 and 60635.
Prime Factorization of 60629
Prime factors of 60629 are 19, 3191. Prime factorization of 60629 in exponential form is:
60629 = 191 × 31911
Prime Factorization of 60635
Prime factors of 60635 are 5, 67, 181. Prime factorization of 60635 in exponential form is:
60635 = 51 × 671 × 1811
Now multiplying the highest exponent prime factors to calculate the LCM of 60629 and 60635.
LCM(60629,60635) = 191 × 31911 × 51 × 671 × 1811
LCM(60629,60635) = 3676239415
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