What is the Least Common Multiple of 7601 and 7611?
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 7601 and 7611 is 57851211.
LCM(7601,7611) = 57851211
Least Common Multiple of 7601 and 7611 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7601 and 7611, than apply into the LCM equation.
GCF(7601,7611) = 1
LCM(7601,7611) = ( 7601 × 7611) / 1
LCM(7601,7611) = 57851211 / 1
LCM(7601,7611) = 57851211
Least Common Multiple (LCM) of 7601 and 7611 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 7601 and 7611. First we will calculate the prime factors of 7601 and 7611.
Prime Factorization of 7601
Prime factors of 7601 are 11, 691. Prime factorization of 7601 in exponential form is:
7601 = 111 × 6911
Prime Factorization of 7611
Prime factors of 7611 are 3, 43, 59. Prime factorization of 7611 in exponential form is:
7611 = 31 × 431 × 591
Now multiplying the highest exponent prime factors to calculate the LCM of 7601 and 7611.
LCM(7601,7611) = 111 × 6911 × 31 × 431 × 591
LCM(7601,7611) = 57851211
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