What is the Least Common Multiple of 61392 and 61400?
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 61392 and 61400 is 471183600.
LCM(61392,61400) = 471183600
Least Common Multiple of 61392 and 61400 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61392 and 61400, than apply into the LCM equation.
GCF(61392,61400) = 8
LCM(61392,61400) = ( 61392 × 61400) / 8
LCM(61392,61400) = 3769468800 / 8
LCM(61392,61400) = 471183600
Least Common Multiple (LCM) of 61392 and 61400 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 61392 and 61400. First we will calculate the prime factors of 61392 and 61400.
Prime Factorization of 61392
Prime factors of 61392 are 2, 3, 1279. Prime factorization of 61392 in exponential form is:
61392 = 24 × 31 × 12791
Prime Factorization of 61400
Prime factors of 61400 are 2, 5, 307. Prime factorization of 61400 in exponential form is:
61400 = 23 × 52 × 3071
Now multiplying the highest exponent prime factors to calculate the LCM of 61392 and 61400.
LCM(61392,61400) = 24 × 31 × 12791 × 52 × 3071
LCM(61392,61400) = 471183600
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