What is the Least Common Multiple of 59471 and 59485?
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 59471 and 59485 is 3537632435.
LCM(59471,59485) = 3537632435
Least Common Multiple of 59471 and 59485 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59471 and 59485, than apply into the LCM equation.
GCF(59471,59485) = 1
LCM(59471,59485) = ( 59471 × 59485) / 1
LCM(59471,59485) = 3537632435 / 1
LCM(59471,59485) = 3537632435
Least Common Multiple (LCM) of 59471 and 59485 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 59471 and 59485. First we will calculate the prime factors of 59471 and 59485.
Prime Factorization of 59471
Prime factors of 59471 are 59471. Prime factorization of 59471 in exponential form is:
59471 = 594711
Prime Factorization of 59485
Prime factors of 59485 are 5, 11897. Prime factorization of 59485 in exponential form is:
59485 = 51 × 118971
Now multiplying the highest exponent prime factors to calculate the LCM of 59471 and 59485.
LCM(59471,59485) = 594711 × 51 × 118971
LCM(59471,59485) = 3537632435
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