What is the Least Common Multiple of 68392 and 68400?
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 68392 and 68400 is 584751600.
LCM(68392,68400) = 584751600
Least Common Multiple of 68392 and 68400 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68392 and 68400, than apply into the LCM equation.
GCF(68392,68400) = 8
LCM(68392,68400) = ( 68392 × 68400) / 8
LCM(68392,68400) = 4678012800 / 8
LCM(68392,68400) = 584751600
Least Common Multiple (LCM) of 68392 and 68400 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 68392 and 68400. First we will calculate the prime factors of 68392 and 68400.
Prime Factorization of 68392
Prime factors of 68392 are 2, 83, 103. Prime factorization of 68392 in exponential form is:
68392 = 23 × 831 × 1031
Prime Factorization of 68400
Prime factors of 68400 are 2, 3, 5, 19. Prime factorization of 68400 in exponential form is:
68400 = 24 × 32 × 52 × 191
Now multiplying the highest exponent prime factors to calculate the LCM of 68392 and 68400.
LCM(68392,68400) = 24 × 831 × 1031 × 32 × 52 × 191
LCM(68392,68400) = 584751600
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