What is the Least Common Multiple of 60073 and 60088?
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 60073 and 60088 is 3609666424.
LCM(60073,60088) = 3609666424
Least Common Multiple of 60073 and 60088 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60073 and 60088, than apply into the LCM equation.
GCF(60073,60088) = 1
LCM(60073,60088) = ( 60073 × 60088) / 1
LCM(60073,60088) = 3609666424 / 1
LCM(60073,60088) = 3609666424
Least Common Multiple (LCM) of 60073 and 60088 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60073 and 60088. First we will calculate the prime factors of 60073 and 60088.
Prime Factorization of 60073
Prime factors of 60073 are 13, 4621. Prime factorization of 60073 in exponential form is:
60073 = 131 × 46211
Prime Factorization of 60088
Prime factors of 60088 are 2, 7, 29, 37. Prime factorization of 60088 in exponential form is:
60088 = 23 × 71 × 291 × 371
Now multiplying the highest exponent prime factors to calculate the LCM of 60073 and 60088.
LCM(60073,60088) = 131 × 46211 × 23 × 71 × 291 × 371
LCM(60073,60088) = 3609666424
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