What is the Least Common Multiple of 67249 and 67253?
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 67249 and 67253 is 4522696997.
LCM(67249,67253) = 4522696997
Least Common Multiple of 67249 and 67253 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67249 and 67253, than apply into the LCM equation.
GCF(67249,67253) = 1
LCM(67249,67253) = ( 67249 × 67253) / 1
LCM(67249,67253) = 4522696997 / 1
LCM(67249,67253) = 4522696997
Least Common Multiple (LCM) of 67249 and 67253 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 67249 and 67253. First we will calculate the prime factors of 67249 and 67253.
Prime Factorization of 67249
Prime factors of 67249 are 7, 13, 739. Prime factorization of 67249 in exponential form is:
67249 = 71 × 131 × 7391
Prime Factorization of 67253
Prime factors of 67253 are 109, 617. Prime factorization of 67253 in exponential form is:
67253 = 1091 × 6171
Now multiplying the highest exponent prime factors to calculate the LCM of 67249 and 67253.
LCM(67249,67253) = 71 × 131 × 7391 × 1091 × 6171
LCM(67249,67253) = 4522696997
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