What is the Least Common Multiple of 68950 and 68957?
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 68950 and 68957 is 679226450.
LCM(68950,68957) = 679226450
Least Common Multiple of 68950 and 68957 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68950 and 68957, than apply into the LCM equation.
GCF(68950,68957) = 7
LCM(68950,68957) = ( 68950 × 68957) / 7
LCM(68950,68957) = 4754585150 / 7
LCM(68950,68957) = 679226450
Least Common Multiple (LCM) of 68950 and 68957 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 68950 and 68957. First we will calculate the prime factors of 68950 and 68957.
Prime Factorization of 68950
Prime factors of 68950 are 2, 5, 7, 197. Prime factorization of 68950 in exponential form is:
68950 = 21 × 52 × 71 × 1971
Prime Factorization of 68957
Prime factors of 68957 are 7, 9851. Prime factorization of 68957 in exponential form is:
68957 = 71 × 98511
Now multiplying the highest exponent prime factors to calculate the LCM of 68950 and 68957.
LCM(68950,68957) = 21 × 52 × 71 × 1971 × 98511
LCM(68950,68957) = 679226450
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