What is the Least Common Multiple of 77237 and 77253?
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 77237 and 77253 is 5966789961.
LCM(77237,77253) = 5966789961
Least Common Multiple of 77237 and 77253 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77237 and 77253, than apply into the LCM equation.
GCF(77237,77253) = 1
LCM(77237,77253) = ( 77237 × 77253) / 1
LCM(77237,77253) = 5966789961 / 1
LCM(77237,77253) = 5966789961
Least Common Multiple (LCM) of 77237 and 77253 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77237 and 77253. First we will calculate the prime factors of 77237 and 77253.
Prime Factorization of 77237
Prime factors of 77237 are 77237. Prime factorization of 77237 in exponential form is:
77237 = 772371
Prime Factorization of 77253
Prime factors of 77253 are 3, 11, 2341. Prime factorization of 77253 in exponential form is:
77253 = 31 × 111 × 23411
Now multiplying the highest exponent prime factors to calculate the LCM of 77237 and 77253.
LCM(77237,77253) = 772371 × 31 × 111 × 23411
LCM(77237,77253) = 5966789961
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