What is the Least Common Multiple of 68236 and 68250?
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 68236 and 68250 is 332650500.
LCM(68236,68250) = 332650500
Least Common Multiple of 68236 and 68250 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68236 and 68250, than apply into the LCM equation.
GCF(68236,68250) = 14
LCM(68236,68250) = ( 68236 × 68250) / 14
LCM(68236,68250) = 4657107000 / 14
LCM(68236,68250) = 332650500
Least Common Multiple (LCM) of 68236 and 68250 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 68236 and 68250. First we will calculate the prime factors of 68236 and 68250.
Prime Factorization of 68236
Prime factors of 68236 are 2, 7, 2437. Prime factorization of 68236 in exponential form is:
68236 = 22 × 71 × 24371
Prime Factorization of 68250
Prime factors of 68250 are 2, 3, 5, 7, 13. Prime factorization of 68250 in exponential form is:
68250 = 21 × 31 × 53 × 71 × 131
Now multiplying the highest exponent prime factors to calculate the LCM of 68236 and 68250.
LCM(68236,68250) = 22 × 71 × 24371 × 31 × 53 × 131
LCM(68236,68250) = 332650500
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