What is the Least Common Multiple of 60050 and 60061?
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 60050 and 60061 is 3606663050.
LCM(60050,60061) = 3606663050
Least Common Multiple of 60050 and 60061 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60050 and 60061, than apply into the LCM equation.
GCF(60050,60061) = 1
LCM(60050,60061) = ( 60050 × 60061) / 1
LCM(60050,60061) = 3606663050 / 1
LCM(60050,60061) = 3606663050
Least Common Multiple (LCM) of 60050 and 60061 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60050 and 60061. First we will calculate the prime factors of 60050 and 60061.
Prime Factorization of 60050
Prime factors of 60050 are 2, 5, 1201. Prime factorization of 60050 in exponential form is:
60050 = 21 × 52 × 12011
Prime Factorization of 60061
Prime factors of 60061 are 17, 3533. Prime factorization of 60061 in exponential form is:
60061 = 171 × 35331
Now multiplying the highest exponent prime factors to calculate the LCM of 60050 and 60061.
LCM(60050,60061) = 21 × 52 × 12011 × 171 × 35331
LCM(60050,60061) = 3606663050
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