What is the Least Common Multiple of 60237 and 60246?
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 60237 and 60246 is 403226478.
LCM(60237,60246) = 403226478
Least Common Multiple of 60237 and 60246 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60237 and 60246, than apply into the LCM equation.
GCF(60237,60246) = 9
LCM(60237,60246) = ( 60237 × 60246) / 9
LCM(60237,60246) = 3629038302 / 9
LCM(60237,60246) = 403226478
Least Common Multiple (LCM) of 60237 and 60246 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60237 and 60246. First we will calculate the prime factors of 60237 and 60246.
Prime Factorization of 60237
Prime factors of 60237 are 3, 23, 97. Prime factorization of 60237 in exponential form is:
60237 = 33 × 231 × 971
Prime Factorization of 60246
Prime factors of 60246 are 2, 3, 3347. Prime factorization of 60246 in exponential form is:
60246 = 21 × 32 × 33471
Now multiplying the highest exponent prime factors to calculate the LCM of 60237 and 60246.
LCM(60237,60246) = 33 × 231 × 971 × 21 × 33471
LCM(60237,60246) = 403226478
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