What is the Least Common Multiple of 72240 and 72246?
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 72240 and 72246 is 869841840.
LCM(72240,72246) = 869841840
Least Common Multiple of 72240 and 72246 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72240 and 72246, than apply into the LCM equation.
GCF(72240,72246) = 6
LCM(72240,72246) = ( 72240 × 72246) / 6
LCM(72240,72246) = 5219051040 / 6
LCM(72240,72246) = 869841840
Least Common Multiple (LCM) of 72240 and 72246 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 72240 and 72246. First we will calculate the prime factors of 72240 and 72246.
Prime Factorization of 72240
Prime factors of 72240 are 2, 3, 5, 7, 43. Prime factorization of 72240 in exponential form is:
72240 = 24 × 31 × 51 × 71 × 431
Prime Factorization of 72246
Prime factors of 72246 are 2, 3, 12041. Prime factorization of 72246 in exponential form is:
72246 = 21 × 31 × 120411
Now multiplying the highest exponent prime factors to calculate the LCM of 72240 and 72246.
LCM(72240,72246) = 24 × 31 × 51 × 71 × 431 × 120411
LCM(72240,72246) = 869841840
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