What is the Least Common Multiple of 60375 and 60390?
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 60375 and 60390 is 243069750.
LCM(60375,60390) = 243069750
Least Common Multiple of 60375 and 60390 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60375 and 60390, than apply into the LCM equation.
GCF(60375,60390) = 15
LCM(60375,60390) = ( 60375 × 60390) / 15
LCM(60375,60390) = 3646046250 / 15
LCM(60375,60390) = 243069750
Least Common Multiple (LCM) of 60375 and 60390 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60375 and 60390. First we will calculate the prime factors of 60375 and 60390.
Prime Factorization of 60375
Prime factors of 60375 are 3, 5, 7, 23. Prime factorization of 60375 in exponential form is:
60375 = 31 × 53 × 71 × 231
Prime Factorization of 60390
Prime factors of 60390 are 2, 3, 5, 11, 61. Prime factorization of 60390 in exponential form is:
60390 = 21 × 32 × 51 × 111 × 611
Now multiplying the highest exponent prime factors to calculate the LCM of 60375 and 60390.
LCM(60375,60390) = 32 × 53 × 71 × 231 × 21 × 111 × 611
LCM(60375,60390) = 243069750
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