What is the Least Common Multiple of 60907 and 60911?
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 60907 and 60911 is 3709906277.
LCM(60907,60911) = 3709906277
Least Common Multiple of 60907 and 60911 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60907 and 60911, than apply into the LCM equation.
GCF(60907,60911) = 1
LCM(60907,60911) = ( 60907 × 60911) / 1
LCM(60907,60911) = 3709906277 / 1
LCM(60907,60911) = 3709906277
Least Common Multiple (LCM) of 60907 and 60911 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60907 and 60911. First we will calculate the prime factors of 60907 and 60911.
Prime Factorization of 60907
Prime factors of 60907 are 7, 11, 113. Prime factorization of 60907 in exponential form is:
60907 = 72 × 111 × 1131
Prime Factorization of 60911
Prime factors of 60911 are 17, 3583. Prime factorization of 60911 in exponential form is:
60911 = 171 × 35831
Now multiplying the highest exponent prime factors to calculate the LCM of 60907 and 60911.
LCM(60907,60911) = 72 × 111 × 1131 × 171 × 35831
LCM(60907,60911) = 3709906277
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